{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import os\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.pairwise import cosine_similarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "sns.set(style='white', context='notebook', rc={'figure.figsize':(14,10)})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "cat_vectors = np.load(open('../data/cat_vectors_2d.npy', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "meta_df = pd.read_csv(\"../data/categories_meta.tsv\", sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#? sns.scatterplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(\n",
    "    x=cat_vectors[:,0].tolist(),\n",
    "    y=cat_vectors[:, 1].tolist(),\n",
    "    hue=meta_df.top_category.to_list(),\n",
    "    size=1 + (meta_df.category == 'Мототехника') + (meta_df.category == 'Транспорт')\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from goods_categorizer.config import DATA_DIR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from goods_categorizer.vectorizer.vectorizer import Vectorizer\n",
    "from goods_categorizer.vectorizer.dm_reduction import DmReduction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "vectors = np.load(open('../data/vectors.npy', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "items_df = pd.read_json(\"../data/good_items.json\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "vectorizer = Vectorizer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "reducer = DmReduction(os.path.join(DATA_DIR, 'mapper.pkl'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "vec = vectorizer.model.encode(\"автомобильный компрессор\".lower())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "scores = cosine_similarity([vec], vectors)[0]\n",
    "top_ids = np.argsort(scores)[-5:][::-1]\n",
    "top_scores = scores[top_ids]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>item</th>\n",
       "      <th>category</th>\n",
       "      <th>top_category</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Автомобильные компрессоры</td>\n",
       "      <td>Автомобильные инструменты</td>\n",
       "      <td>Авто</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>Обогреватели двигателя и салона</td>\n",
       "      <td>Аксессуары и оборудование</td>\n",
       "      <td>Авто</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>Компоненты климатических систем автомобиля</td>\n",
       "      <td>Запчасти</td>\n",
       "      <td>Авто</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1841</th>\n",
       "      <td>Воздушные компрессоры</td>\n",
       "      <td>Инструменты</td>\n",
       "      <td>Строительство и ремонт</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>Автомобильные инверторы</td>\n",
       "      <td>Электроника</td>\n",
       "      <td>Авто</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                            item                   category  \\\n",
       "0                      Автомобильные компрессоры  Автомобильные инструменты   \n",
       "59               Обогреватели двигателя и салона  Аксессуары и оборудование   \n",
       "94    Компоненты климатических систем автомобиля                   Запчасти   \n",
       "1841                       Воздушные компрессоры                Инструменты   \n",
       "200                      Автомобильные инверторы                Электроника   \n",
       "\n",
       "                top_category  \n",
       "0                       Авто  \n",
       "59                      Авто  \n",
       "94                      Авто  \n",
       "1841  Строительство и ремонт  \n",
       "200                     Авто  "
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "items_df.iloc[top_ids]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2.453023672103882, 2.1001219749450684]"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "red = reducer.mapper.transform([vec]).tolist()[0]\n",
    "red"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(\n",
    "    x=cat_vectors[:,0].tolist() + [red[0]],\n",
    "    y=cat_vectors[:, 1].tolist() + [red[1]],\n",
    "    hue=meta_df.top_category.to_list() + [\"NEW\"],\n",
    "    size=[1] * len(cat_vectors) + [2]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
